The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th
e numbers?
1 answer:
Answer:
1st number: 22
2nd number: 16
3rd number: 64
Step-by-step explanation:
x + y + z = 102
x = 6 + y
z = 4y
plug that in!
(6 + y) + y + (4y) = 102
get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.
6 + 6y = 102
move 6 to the other side.
6y = 96
y = 16
now that you know one number, you can solve the equations for the rest!
x = 6 + (16)
z = 4(16)
__________________________________________________________
x = 22
y = 16
z = 64
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